Aharonov-Bohm effect in a draining bathtub vortex

作者：Dolan Sam R^*; Oliveira Ednilton S; Crispino Luis C B

来源：Physics Letters B, 2011, 701(4): 485-489.

DOI：10.1016/j.physletb.2011.06.013

• Aharonov-Bohm effect
• (2+1)-dimensional rotating acoustic hole
• Scattering

We study planar waves in a circulating, draining fluid flow, which: (i) exhibit an analogue of the Aharonov-Bohm (AB) effect in Quantum Mechanics; (ii) obey a Klein-Gordon equation on an 'effective spacetime' which resembles the Kerr spacetime of General Relativity; and (iii) may be observed in the laboratory using gravity waves in a shallow basin. We describe a modified AB effect which depends on two dimensionless parameters, associated with the circulation a and draining beta rates; we call this the 'alpha beta effect'. We show that the alpha beta effect is inherently asymmetric even in the low-frequency limit, and that it leads to novel interference patterns which carry the signature of both rotation and absorption.

• 出版日期2011-7-18